What is the Least Common Multiple of 37830 and 37842?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37830 and 37842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37830 and 37842, than apply into the LCM equation.

GCF(37830,37842) = 6
LCM(37830,37842) = ( 37830 × 37842) / 6
LCM(37830,37842) = 1431562860 / 6
LCM(37830,37842) = 238593810

Least Common Multiple (LCM) of 37830 and 37842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37830 and 37842. First we will calculate the prime factors of 37830 and 37842.

Prime Factorization of 37830

Prime Factorization of 37842

Now multiplying the highest exponent prime factors to calculate the LCM of 37830 and 37842.

LCM(37830,37842) = 2¹ × 3¹ × 5¹ × 13¹ × 97¹ × 7¹ × 17¹ × 53¹
LCM(37830,37842) = 238593810